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Finding the Fourth Proportional to 98,016.40, 146,827.70 and 82,958.91

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Solution

The fourth proportional to 98,016.40, 146,827.70 and 82,958.91 is: 124,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016.40 : 146,827.70 = 82,958.91 : x
  2. Step 2: Convert to fraction form
    98,016.40/146,827.70 = 82,958.91/x
  3. Step 3: Cross multiply
    98,016.40x = 146,827.70 × 82,958.91
  4. Step 4: Simplify right side
    98,016.40x = 12,180,665,949.81
  5. Step 5: Solve for x
    x = 12,180,665,949.81/98,016.40
  6. Step 6: Final answer
    x = 124,271.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.